Solution of Elasto-Statics Problems Using the Element-Free Galerkin Method with Local Maximum Entropy Shape Functions [PDF]
The element free Galerkin method (EFGM) [1] is one of the most robust meshless methods for the solution of elasto-statics problems. In the EFGM, moving least squares (MLS) shape functions are used for the approximation of the field variable.
Augarde, Charles, Ullah, Zahur
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Adaptive Element-Free Galerkin method applied to the limit analysis of plates [PDF]
The implementation of an h-adaptive Element-Free Galerkin (EFG) method in the framework of limit analysis is described. The naturally conforming property of mesh- free approximations (with no nodal connectivity required) facilitates the implementation of
Askes, Harm +2 more
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Locking‐free DGFEM for elasticity problems in polygons [PDF]
, 2017 The h‐version of the discontinuous Galerkin finite element method (h‐DGFEM) for nearly incompressible linear elasticity problems in polygons is analysed.
Wihler, Thomas P.
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A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid
Shock and Vibration, 2017 A new differential transformation method is developed in this paper and is applied for free vibration problem of pipes conveying fluid. The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical ...
H. B. Wen +4 more
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Finite element computation of a viscous compressible free shear flow governed by the time dependent Navier-Stokes equations [PDF]
A finite element algorithm for solution of fluid flow problems characterized by the two-dimensional compressible Navier-Stokes equations was developed.
Blanchard, D. K., Cooke, C. H.
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Advances in Mathematical Physics, 2016 Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation. It can be found that, for the very small diffusivity coefficients, VMEFG method still suffers from instability in the presence of boundary or interior layers. In
Ping Zhang, Xiaohua Zhang, Laizhong Song
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A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations
, 2014 We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert +3 more
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Journal of Applied Mathematics, 2018 The disproportionality in the problem parameters of the convection-diffusion-reaction equation may lead to the formation of layer structures in some parts of the problem domain which are difficult to resolve by the standard numerical algorithms ...
Ali Sendur
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Mode I crack problems by coupled fractal finite element and meshfree method
Computer Assisted Methods in Engineering and Science, 2017 This paper presents a coupling technique for integrating the fractal finite element method (FFEM) with element-free Galerkin method (EFGM) for analyzing homogeneous, isotropic, and two-dimensional linearelastic cracked structures subjected to Mode I ...
B. N. Rao, K. N. Rajesh
doaj
Geometrically Nonlinear Analysis of Composite Beams Based Using a Space–Time Finite Element Method
AerospaceIn this paper, we present a transient-format time-continuous Galerkin finite element method for fully intrinsic geometrically exact beam equations that are energy-consistent.
Xin Hu, Lidao Chen, Yong Liu
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